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Finding the Fourth Proportional to 19,838.42, 27,377.06 and 10,886.00

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Solution

The fourth proportional to 19,838.42, 27,377.06 and 10,886.00 is: 15,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.42 : 27,377.06 = 10,886.00 : x
  2. Step 2: Convert to fraction form
    19,838.42/27,377.06 = 10,886.00/x
  3. Step 3: Cross multiply
    19,838.42x = 27,377.06 × 10,886.00
  4. Step 4: Simplify right side
    19,838.42x = 298,026,483.84
  5. Step 5: Solve for x
    x = 298,026,483.84/19,838.42
  6. Step 6: Final answer
    x = 15,022.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.